Zobrazeno 1 - 10
of 442
pro vyhledávání: '"Tsouvalas, A."'
We establish lower estimates for singular value gaps of free products of $1$-divergent semigroups $\Gamma_1,\Gamma_2\subset \mathsf{GL}_d(\mathbb{K})$ which are in ping-pong position. As an application, we prove that if $\Gamma_1$ and $\Gamma_2$ are
Externí odkaz:
http://arxiv.org/abs/2409.20330
Autor:
Tsouvalas, Vasileios, Mohammadi, Samaneh, Balador, Ali, Ozcelebi, Tanir, Flammini, Francesco, Meratnia, Nirvana
Federated Learning (FL) enables model training across decentralized devices by communicating solely local model updates to an aggregation server. Although such limited data sharing makes FL more secure than centralized approached, FL remains vulnerab
Externí odkaz:
http://arxiv.org/abs/2406.09152
Autor:
Tsouvalas, Konstantinos
Let $\mathbb{K}=\mathbb{R}$ or $\mathbb{C}$. For all but finitely many $m\in \mathbb{N}$, we exhibit the first examples of non-locally rigid, Zariski dense, robust quasi-isometric embeddings of hyperbolic groups in $\mathsf{SL}_m(\mathbb{K})$ which a
Externí odkaz:
http://arxiv.org/abs/2402.09339
Federated Learning (FL) is a promising technique for the collaborative training of deep neural networks across multiple devices while preserving data privacy. Despite its potential benefits, FL is hindered by excessive communication costs due to repe
Externí odkaz:
http://arxiv.org/abs/2401.14211
Autor:
Tsouvalas, Konstantinos, Zhu, Feng
We obtain restrictions on which groups can admit relatively Anosov representations into specified target Lie groups, by examining the topology of possible Bowditch boundaries and how they interact with the Anosov limit maps. For instance, we prove th
Externí odkaz:
http://arxiv.org/abs/2401.03050
Federated Learning (FL) is a distributed machine learning paradigm that enables learning models from decentralized local data. While FL offers appealing properties for clients' data privacy, it imposes high communication burdens for exchanging model
Externí odkaz:
http://arxiv.org/abs/2311.09270
Autor:
Tsouvalas, Konstantinos
Let $\Gamma$ be a non-elementary word hyperbolic group and $d_{a}, a>1,$ a visual metric on its Gromov boundary $\partial_{\infty}\Gamma$. For an $1$-Anosov representation $\rho:\Gamma \rightarrow \mathsf{GL}_{d}(\mathbb{K})$, where $\mathbb{K}=\math
Externí odkaz:
http://arxiv.org/abs/2306.15823
Autor:
Douba, Sami, Tsouvalas, Konstantinos
Motivated by a question of M. Kapovich, we show that the $\mathbb{Z}^2$ subgroups of $\mathsf{SL}_3(\mathbb{R})$ that are regular in the language of Kapovich--Leeb--Porti, or divergent in the sense of Guichard--Wienhard, are precisely the lattices in
Externí odkaz:
http://arxiv.org/abs/2306.11262
We prove that a word hyperbolic group whose Gromov boundary properly contains a $2$-sphere cannot admit a projective Anosov representation into $\mathsf{Sp}_{2m}(\mathbb{C})$, $m\in \mathbb{N}$. We also prove that a word hyperbolic group which admits
Externí odkaz:
http://arxiv.org/abs/2305.05018
Autor:
Saeed, Aaqib, Tsouvalas, Vasileios
As technology advances and digital devices become prevalent, seamless human-machine communication is increasingly gaining significance. The growing adoption of mobile, wearable, and other Internet of Things (IoT) devices has changed how we interact w
Externí odkaz:
http://arxiv.org/abs/2305.03058